Solve Mixed Number Division: 9¼ ÷ 24/7 Step-by-Step

$+9\frac{1}{4}:+\frac{24}{7}$

Let's convert 9 and a quarter to a simple fraction:

$9\frac{1}{4}=9+\frac{1}{4}=\frac{9\times4}{4}+\frac{1}{4}=\frac{36}{4}+\frac{1}{4}=\frac{36+1}{4}=\frac{37}{4}$

Now the exercise we got is:

$\frac{37}{4}:\frac{24}{7}=$

Let's convert the division exercise to a multiplication exercise, and don't forget to switch the numerator and denominator in the second fraction:

$\frac{37}{4}\times\frac{7}{24}=$

Let's combine it into one multiplication exercise:

$\frac{37\times7}{24\times4}=\frac{259}{96}$